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Finding the Fourth Proportional to 4,941.88, 7,414.67 and 2,568.48

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Solution

The fourth proportional to 4,941.88, 7,414.67 and 2,568.48 is: 3,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.88 : 7,414.67 = 2,568.48 : x
  2. Step 2: Convert to fraction form
    4,941.88/7,414.67 = 2,568.48/x
  3. Step 3: Cross multiply
    4,941.88x = 7,414.67 × 2,568.48
  4. Step 4: Simplify right side
    4,941.88x = 19,044,410.22
  5. Step 5: Solve for x
    x = 19,044,410.22/4,941.88
  6. Step 6: Final answer
    x = 3,853.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.